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Popular Word Problems >

woman drives her car 408 miles in 6 hours. At this rate how far will she travel in 8 hours?

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Solution

womandriveshercar408milesin6hours.Atthisratehowfarwillshetravelin8hours?

Solution

trip2distance:544
Solution steps
Given Time:
trip1:6
trip2:8
Given Distance:trip1:408
Represent the speed in terms of x:trip1:x
trip1​Speedx​Time6​Distance408​​
Write an equation for trip 1Distance = Speed ⋅ Time408=x⋅6
Solve for x,408=x⋅6:x=68
speed:68
Represent the distance in terms of y:trip2:y
trip2​Speed68​Time8​Distancey​​
Write an equation for trip 2Distance = Speed ⋅ Timey=68⋅8
Solve for y,y=68⋅8:y=544
trip2distance:544

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